** Next:** Worked example 11.5: Gravity
** Up:** Oscillatory motion
** Previous:** Worked example 11.3: Block

*Question:*
A block of mass is attached to a spring, and undergoes simple harmonic
motion with a period of
. The total energy of the system is
. What is the force constant of the spring? What is the amplitude
of the motion?
*Answer:*
The angular frequency of the motion is

Now,
for a mass on a spring. Rearrangement of this formula yields

The total energy of a system executing simple harmonic motion is
. Rearrangement of this formula gives

Thus, the force constant is
and the amplitude is
.

Richard Fitzpatrick
2006-02-02